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(A) : We take smaller steps to walk on w...

(A) : We take smaller steps to walk on wet floor
( R) : To take larger step, larger force is to be exerted on ground, which may exceed limiting friction between floor and foot

A

Both (A) and (R) are true and (R) is the correct explanation of (A)

B

Both (A) and (R) are true and (R) is not the

C

(A) is true but ( R) is false

D

Both (A) and (R ) are false

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze both the assertion (A) and the reason (R) provided. ### Step-by-Step Solution: 1. **Understanding the Assertion (A)**: - The assertion states that we take smaller steps to walk on a wet floor. - This is a common observation; people tend to be cautious and take smaller steps when the ground is slippery. 2. **Understanding the Reason (R)**: - The reason provided explains that taking larger steps requires exerting a larger force on the ground. - If this force exceeds the limiting friction between the floor and the foot, it can lead to slipping. 3. **Analyzing the Effect of Wet Floors**: - When the floor is wet, the friction between the foot and the floor decreases. - Limiting friction is the maximum frictional force that can be exerted before slipping occurs. On a wet surface, this value is lower than on a dry surface. 4. **Force and Friction Relationship**: - To walk, a person must exert a force backward on the ground, and friction acts forward to propel the person. - If a person tries to take a larger step, they need to apply a larger backward force. - However, if the friction is low (as in the case of a wet floor), this larger force can exceed the available frictional force, leading to slipping. 5. **Conclusion**: - Therefore, to avoid slipping on a wet floor, it is safer to take smaller steps, which require less force and remain within the limits of the available friction. - Thus, both the assertion (A) and the reason (R) are true, and R is a correct explanation of A. ### Final Answer: Both A and R are true, and R is the correct explanation of A. ---
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